Aptitude and Reasoning Questions

Q:

Ajay who is a King, at his eleventh hour, called his three queens and distributed his gold in the following way: He gave 50% of his wealth to his first wife, 50% of the rest to his second wife and again 50% of the rest to his third wife. If their combined share is worth1,30,900 kilograms of gold, find the quantity of gold King Ajay was having initially?

A) 153145 kgs B) 147890 kgs
C) 152400 kgs D) 149600 kgs
 
Answer & Explanation Answer: D) 149600 kgs

Explanation:

Let the total quantity of gold be p kgs.

According to the question,

50% of p + 25% of p + 12.5% of p = 130900

87.5% of p = 130900

p = 130900 x 100/87.5  = 149600 kgs.

 

Therefore, the initial gold quantity that king has = p = 149600 kgs.

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Q:

A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ?

A) 400 m B) 300 m
C) 500 m D) 600 m
 
Answer & Explanation Answer: A) 400 m

Explanation:

Speed = 78 x 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (900 + x)/60 = 65/3
x = 400 m.

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Filed Under: Problems on Trains
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Q:

Compound interest on a certain sum of money at 20% per annum for 2 years is Rs.5995. What is the SI on the same money at 8% per annum for 6 years ?

A) Rs. 5989 B) Rs. 6540
C) Rs. 7844 D) Rs. 6789
 
Answer & Explanation Answer: B) Rs. 6540

Explanation:

Given C.I = 5984, R = 20% , T = 2yrs

 C.I = P1+201002-1

 

5984 = 

 

=> P = (5995x25)/11

 

P = Rs. 13625

 

Now S.I = PTR/100

 

SI = (13625 x 8 x 6)/100 = Rs. 6540

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Filed Under: Compound Interest
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Q:

The diagonals of two squares are in the ratio of 2:5. Find the ratio of their areas.

A) 2:25 B) 3:25
C) 4:25 D) 6:25
 
Answer & Explanation Answer: C) 4:25

Explanation:

let the diagonals of the squares be 2x and 5x respectively

 

 

 

ratio of their areas = 12*2x2 :12*5x2 = 4:25

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Filed Under: Area
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Q:

A train covered k km at 40 kmph and another 2k km at 20 kmph. Find the average speed of the train in covering the entire 3k km ?

A) 28 kmph B) 24 kmph
C) 26 kmph D) 32 kmph
 
Answer & Explanation Answer: B) 24 kmph

Explanation:

Total time taken = k/40 + 2k/20 hours

= 5k/40 = k/8 hours

Average speed = 3k/(k/8) = 24 kmph.

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Filed Under: Problems on Trains
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Q:

You are in a bus. The bus reaches your stop but still you have not purchased the ticket because of heavy rush. What will you do ?

A) Jump out quickly to avoid embarrassment. B) call the conductor, give him the money and get the ticket.
C) Hand the money to someone sitting nearby to give it to the conductor D) Give the money to the driver.
 
Answer & Explanation Answer: B) call the conductor, give him the money and get the ticket.

Explanation:
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Q:

Loiter : Dwandle :: Impugn : ?

A) Revenge B) Confiscate
C) Gamble D) Challenge
 
Answer & Explanation Answer: D) Challenge

Explanation:

The words in each pair are synonyms of each other.

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Filed Under: Analogy
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15 7597
Q:

Find the perimeter and area of a square that has a side of length 14 feet.

A) 176 B) 186
C) 196 D) 206
 
Answer & Explanation Answer: C) 196

Explanation:

Perimeter of a square p=4s ,where s=length of its side 

=> p=4(14)=56 feets 

 

Area  of a square A = s x s

=> A=196


The perimeter is 56 feet, and the area is 196 square feet.

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Filed Under: Area
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